๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Monotone method for a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces

โœ Scribed by Heng-you Lan

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
731 KB
Volume
222
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, by using a monotone iterative technique in the presence of lower and upper solutions, we discuss the existence of solutions for a new system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces. Under wide monotonicity conditions and the noncompactness measure conditions, we also obtain the existence of extremal solutions and a unique solution between lower and upper solutions.

๐Ÿ“œ SIMILAR VOLUMES

Nonlinear boundary value problem for sec
Nonlinear boundary value problem for second order impulsive integro-differential equations of mixed type in Banach space
โœ Wenjuan Li; Guangxing Song ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 314 KB

Using the cone theory and lower and upper solutions, we investigate the existence of extremal solutions of nonlinear boundary value problem for second order impulsive integro-differential equations, which involve the derivative x and deviating argument x(ฮฒ(t)) in Banach space.

Global solutions of initial value proble
Global solutions of initial value problems for nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces
โœ Fei Guo; Lishan Liu; Yonghong Wu; Peg-Foo Siew ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 248 KB

In this paper, we develop a theorem for the existence of global solutions of an initial value problems for a class of second-order impulsive integro-differential equations of mixed type in a real Banach space. The results obtained are the generalizations and improvements of various recent results. A

Initial Value Problems for the Second Or
Initial Value Problems for the Second Order Mixed Monotone Type of Impulsive Differential Equations in Banach Spaces
โœ Sun Jinli; Ma Yihai ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 100 KB

In this paper, we use the coupled fixed point theorem for mixed monotone condensing operators to obtain an existence and uniqueness theorem of solutions of initial value problems for the second order mixed monotone type of impulsive differential equations and its application.